What is the most important rule you need to remember when solving equations?
Keep the equation in balance (what you do to one side, needs to be done to the other side too).
100
Solve:
11 = r - 4
15
100
Solve:
4x + 3 = 11
2
100
Solve:
7 - 4c = 10c
1/2
100
Write the equation and solve it:
A number increased by two is five.
x + 2 = 5
x = 3
200
The operations that undo each other, such as addition-subtraction, multiplication - division.
What is inverse operations.
200
Solve:
-|-8| - x = -3
-5
200
Solve:
9x - 5x - 19 = 21
10
200
Solve :
5(y - 2) = -2(12 - 9y) + y
1
200
The sum of three and twice a number is the product of the number and 7.
2x + 3 = 7x
x = 3/5
300
When you solve an equation, you perform various transformations to both sides. As result of those transformation you create equations that have the same solution as the original one. Those equations are called...
Equivalent equations
300
Solve:
- 1/2 b = - |-10|
20
300
Solve:
17 = 2(3x + 1) - x
3
300
Solve:
4(x + 2) - 5 = -5x + 3 + 9x
3 = 3
Identity
x is any Real Number
300
The difference of eight and nine times a number is twenty-one times the number decreased by seventeen.
8 - 9t =21t - 17
t = 5/6
400
An equation that is true for ALL values of a variable is ...
Identity
400
Solve:
- 3/8 t = -6
16
400
Solve:
9x - 5(3x - 12) = 30
5
400
Solve:
3(x + 2) = 2x + 5 + x
no solution
400
The difference of twenty-five times a number and four times the quantity of four times the number increased by six, is negative 69.
25x - 4(4x+6) = -69
x = -5
500
Name 4 characteristics by which we can tell that the equation is a linear equation.
1. Variable is raised to the first power.
2. Variable doesn't occur in the denominator.
3. Variable doesn't occur inside a square root symbol.
4. Variable doesn't occur inside absolute value symbol.
500
Solve:
-13/168 + y = 11/42
19/56
500
-4/9(2y - 4) = -109+157
52
500
Solve:
3/42(12 - 2b) = 2(1/42 b + 1)
-6
500
The quotient of a number and the quantity of twenty-one reduced by twenty-nine is the quotient of three and twice negative four.